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Finding the Third Proportional to 202,682 and 313,864

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Solution

The third proportional to 202,682 and 313,864 is: 486,035.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,682 : 313,864 = 313,864 : x
  2. Step 2: Convert to fraction form
    202,682/313,864 = 313,864/x
  3. Step 3: Cross multiply
    202,682x = 313,864 × 313,864
  4. Step 4: Simplify right side
    202,682x = 98,510,610,496
  5. Step 5: Solve for x
    x = 98,510,610,496/202,682
  6. Step 6: Final answer
    x = 486,035.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.